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A fast upwind solver for the euler equations on three-dimensional unstructured meshes
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Frink, Neal T. Pirzadeh, Shahyar |
| Copyright Year | 2004 |
| Description | An upwind scheme is presented for solving the three-dimensional Euler equations on unstructured tetrahedral meshes. Spatial discretization is accomplished by a cell-centered finite-volume formulation using flux-difference splitting. Higher-order differences are formed by a novel cell reconstruction process which results in computational times per cell comparable to those of structured codes. The approach yields highly resolved solutions in regions of smooth flow while avoiding oscillations across shocks without explicit limiting. Solutions are advanced in time by a 3-stage Runge-Kutta time-stepping scheme with convergence accelerated to steady state by local time stepping and implicit residual smoothing. Solutions are presented for a range of configurations in the transonic speed regime to demonstrate code accuracy, speed, and robustness. The results include an assessment of grid sensitivity and convergence acceleration by mesh sequencing. |
| File Size | 948098 |
| Page Count | 16 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_20040121087 |
| Archival Resource Key | ark:/13960/t8tb62s1s |
| Language | English |
| Publisher Date | 2004-01-01 |
| Access Restriction | Open |
| Subject Keyword | Fluid Mechanics And Thermodynamics Wings Three Dimensional Flow Unstructured Grids Mathematics Upwind Schemes Mathematics Euler Equations of Motion Flow Distribution Runge-kutta Method Tetrahedrons Boundary Conditions Grid Generation Mathematics Steady State Flux Difference Splitting Ntrs Nasa Technical Reports ServerĀ (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |